Bound States Of Strings And $p$-Branes

Abstract

The recent discovery of an explicit conformal field theory description of Type II $p$-branes makes it possible to investigate the existence of bound states of such objects. In particular, it is possible with reasonable precision to verify the prediction that the Type IIB superstring in ten dimensions has a family of soliton and bound state strings permuted by $SL(2,\mathbf{Z})$. The space-time coordinates enter tantalizingly in the formalism as non-commuting matrices.

25 pages, harvmac. Added references

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• Massless Black Holes and Conifolds in String Theory
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• Realization of D4-Branes at Angles in Super Yang-Mills Theory
• Conceptual Analysis of Black Hole Entropy in String Theory
• Expanded Strings in the Background of NS5-branes via a M2-brane, a D2-brane and D0-branes
• Interaction between two non-threshold bound states
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Sheets of BPS Monopoles and Instantons with Arbitrary Simple Gauge Group
• Pauli Oscillator In Noncommutative Space
• Unitary IIB Matrix Model and the Dynamical Generation of the Space Time
• On the supersymmetric effective action of Matrix theory
• D-particles on T^4/Z_n orbifolds and their resolutions
• Solutions of Extended Supersymmetric Matrix Models for Arbitrary Gauge Groups
• On the D(-1)/D7-brane systems
• From M-theory to F-theory, with Branes
• D-branes on Group Manifolds and Deformation Quantization
• A Terminal Velocity on the Landscape: Particle Production near Extra Species Loci in Higher Dimensions
• D-branes in $\lambda$-deformations
• Near-horizon brane-scan revived
• The M theory lift of two O6 planes and four D6 branes
• Geometric K-Homology of Flat D-Branes
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
• Localization and Duality for ABJM Latitude Wilson Loops
• The gauge invariance of the non-Abelian Chern-Simons action for D-branes revisited
• Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons
• What lattice theorists can do for superstring/M-theory
• Matrix Entanglement
• On the string interpretation of M(atrix) theory
• D0-Branes, Constrained Instantons and D=4 Super Yang-Mills Theories
• Blending Local Symmetries With Matrix Nonlocality in D-brane Effective Actions
• More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA
• On Exact Supersymmetry in DLCQ
• A perturbative expansion scheme for supermembrane and matrix theory
• Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action
• Non abelian N=2 supersymmetric Born Infeld action
• Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
• Stability analysis of Lower Dimensional Gravastars in noncommutative geometry
• Discrete Noncommutative Gauge Theory
• Non-linear Schroedinger Dynamics of Matrix D-branes
• Wilson Loops and Vertex Operators in Matrix Model
• Newtonian M(atrix) Cosmology
• Three Point Tree Level Amplitude in Superstring Theory
• Do Quarks Obey D-Brane Dynamics? II
• A study on relativistic lagrangian field theories with non-topological soliton solutions
• Dilute D-Instantons at Finite Temperature
• On D-brane-Anti D-brane Effective actions and their all order Bulk Singularity Structures
• Type II strings are Exceptional
• On ${\alpha }^{\prime }$-effects from $D$-branes in $4d\mathcal{N}=1$
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Superembedding approach to Dp-branes, M-branes and multiple D(0)-brane systems
• M-theory on Less Supersymmetric PP-Waves
• Quantum Hall Effect and Langlands Program
• On the Moduli Spaces of M(atrix)-Theory Compactifications
• On D-brane interaction & its related properties
• Recent Developments in Superstring Theory
• D-instantons probing D3-branes and the AdS/CFT correspondence
• Holographic View of Causality and Locality via Branes in AdS/CFT Correspondence
• Q-instantons
• Octonionic Selfduality for SuperMembranes
• A class of six-dimensional conformal field theories
• Gravitational Dielectric Effect and Myers Effect
• A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
• Thomson scattering of chiral tensors and scalars against a self-dual string
• A Spectral Approach for Quasinormal Frequencies of Noncommutative Geometry-inspired Wormholes
• Real-time dynamics of matrix quantum mechanics beyond the classical approximation
• Duality of Super D-brane Actions in General Type IIB Supergravity Background
• Super D-string Action on $Ad{S}_5\times S^5$
• Poincare Invariance in Multiple D-brane Actions
• Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
• Black Hole Thermodynamics from the point of view of Superstring Theory
• On the Deformation of $\Lambda$-Symmetry in B-field Background
• Gauge Unification via Stable Brane Recombination
• Unitary matrix model for toroidal compactifications of M theory
• On RR Couplings, Singularity Structures and all order ${\alpha }^{\prime }$ contact interactions to BPS String Amplitudes
• The open string pair-production rate enhancement by a magnetic flux
• High Temperature Limit of the N= 2 Matrix Model
• On Second-Quantized Open Superstring Theory
• Flux Quantization on M5-branes
• Path Integral Equivalence between Super D-string and IIB Superstring
• Nonabelian Berry Phase, Yang-Mills Instanton and USp(2k) Matrix Model
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Action for the eleven dimensional multiple M-wave system
• A New String in Ten Dimensions?
• Finite Temperature Matrix Theory
• Multiple M-wave interaction with fluxes
• Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special
• Perturbative Dynamics of Fractional Strings on Multiply Wound D-strings
• On Bulk Singularity Structures and all order ${\alpha }^{\prime }$ Contact Terms of BPS String Amplitudes
• A General Class of Regular Black Holes based on a Smeared Mass Distribution
• Dynamics of junctions and the multi-tension velocity-dependent one-scale model
• Accounting for the large radial tension in Morris-Thorne wormholes
• Tubular Solutions in NS5-brane, Dp-brane and Macroscopic Strings Backgrounds
• On deformations of 2d SCFTs
• Two-dimensional algebra in lattice gauge theory
• D-Branes and Twelve Dimensions
• Numerical relativity in higher dimensions
• From UV/IR mixing to closed strings
• Interaction of D-string with F-string: A Path-Integral Formalism
• On the Opening of Branes
• Particle Production during Inflation in Light of PLANCK
• Vertex Operators for Super Yang-Mills and Multi D-Branes in Green-Schwarz Superstring
• Permutation invariant Gaussian 2-matrix models
• Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model
• D-Branes and Physical States
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory
• The QCD Membrane
• Equivalent String Networks and Uniqueness of BPS States
• The Large N Reduction in Matrix Quantum Mechanics -- a Bridge between BFSS and IKKT --
• Classical Hair in String Theory II: Explicit Calculations
• A note on the torsion dependence of D-brane RR couplings
• Field Theory as a Matrix Model
• Noncommutative geometry inspired 3-dimensional charged black hole solution in an anti-de Sitter background space-time
• A non-Abelian Chern-Simons term for non-BPS D-branes
• D-brane in R-R Field Background
• Derivative corrections to the Born-Infeld action through beta-function calculations in N=2 boundary superspace
• SL(2, Z) Multiplets of Type II Superstrings in $D<10$
• Noncommutative-geometry inspired charged wormholes with low tidal forces
• Accounting for some aspects of dark matter and dark energy via noncommutative geometry
• Non-BPS States and Heterotic - Type I' Duality
• The Matrix model and the non-commutative geometry of the supermembrane
• A Holographic Kaleidoscope for $\mathcal{N}=1^{\ast }$
• Conformal Symmetry and A New Gauge in the Matrix Model
• Phases of Five-dimensional Theories, Monopole Walls, and Melting Crystals
• Massless Monopoles and Multipronged Strings
• On Lorentz invariance and supersymmetry of four particle scattering amplitudes in $S^N{\mathbb{R}}^8$ orbifold sigma model
• Covariant action and equations of motion for the eleven dimensional multiple M0-brane system
• On Finite-Size D-Branes in Superstring Theory
• Gauge Instantons from Open Strings
• Time delay of photons of different energies in multi-dimensional cosmological models
• On M-Theory
• Dimensionally reduced SYM${}_4$ at large-$N$: an intriguing Coulomb approximation
• Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry
• Radiation of Closed Strings between the Parallel Dynamical-Dressed Unstable Dp-Branes
• On the gauge invariance and coordinate transformations of non-Abelian D-brane actions
• Tunnelling Effects in a Brane System and Quantum Hall Physics
• Statistical Mechanics of Multiply Wound D-Branes
• P-P' Strings in M(atrix) Theory
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
• On S-Duality of Toroidally Compactified Type IIB String Effective Action
• Stability of the Rotating Ellipsoidal D0-brane System
• On Non-Abelian Structure From Matrix Coordinates
• Superembedding Approach and S-Duality. A unified description of superstring and super-D1-brane
• Non-BPS String Junctions and Dyons in N=4 Super-Yang-Mills
• Stable wormholes on a noncommutative-geometry background admitting a one-parameter group of conformal motions
• Topological Field Theory and Second-Quantized Five-Branes
• The Dynamics of D-3-brane Dyons and Toric Hyper-Kähler manifolds
• Path-Integral Formulation of Dirichlet String in General Backgrounds
• Emergence and Correspondence for String Theory Black Holes
• M-momentum Transfer between Gravitons, Membranes, and Fivebranes as Perturbative Gauge Theory Processes
• Noncommutative black hole in the Finslerian spacetime
• Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Is Physics in the Infinite Momentum Frame Independent of the Compactification Radius?
• Supermembranes and Super Matrix Models
• 0-brane Quantum Chemistry
• Stringy Instantons in SU(N) N=2 Non-Conformal Gauge Theories
• IIB/M Duality and Longitudinal Membranes in M(atrix) Theory
• Covariantized Matrix theory for D-particles
• Topics on D-brane charges with B-fields
• Do Quarks Obey D-Brane Dynamics?
• M2-M5 giant graviton expansions
• Solitons on Branes
• Matrix models for D-particle dynamics and the string/black hole transition
• String Cosmology of the D-brane Universe
• Nucleus from String Theory
• Revisiting galactic rotation curves given a noncommutative-geometry background
• Path integral evaluation of Dbrane amplitudes
• Stable Massive States in 1+1 Dimensional NCOS
• T-duality in M-theory and supermembranes
• Path integral evaluation of Dbrane amplitudes
• Collisions of cosmic strings with chiral currents
• BPS Bound States of D6-branes and Lower Dimensional D-branes
• BPS states in Matrix Strings
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• p-Branes from Generalized Yang-Mills Theory
• Introduction to D-branes
• On SYM theory and all order Bulk Singularity Structures of BPS Strings in type II theory
• Four-dimensional SYM probes in wrapped M5-brane backgrounds
• On The Interaction Of D0-Brane Bound States And RR Photons
• World-volume fields and background coupling of branes
• Supersymmetric action for multiple D0-brane system
• Fundamental strings in SFT
• Bound States of String Networks and D-branes
• Generating Functions for Giant Graviton Bound States
• Dimensionally Reduced Yang-Mills Theories in Noncommutative Geometry
• U-duality Between NCOS Theory and Matrix Theory
• Fermionic Backgrounds and Condensation of Supergravity Fields in IIB Matrix Model
• The Casimir force in noncommutative Randall-Sundrum models
• Surface Defects from Fractional Branes -- II
• 4-string Junction and Its Network
• More on Four-Dimensional Extremal Black Holes
• A Polynomial First Order Action for the Dirichlet 3-brane
• Monads and D-instantons
• Non extremal geometries and holographic phase transitions
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• BPS mass spectrum from D-brane action
• Is there any evidence for extra-dimensions or quantum gravity effects from the delayed MeV-GeV photons in GRB 940217?
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Multicanonical simulation of 3D dynamical triangulation model and a new phase structure
• Marginal deformations and quasi-Hopf algebras
• Supersymmetric quantum mechanics, supermembranes and Dirichlet particles
• Taming the Non Abelian Born-Infeld Action
• Superstring 'ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system
• Cohomological Field Theory Approach to Matrix Strings
• Aspects of D-brane actions
• Aether, Dark Energy, and String Compactifications
• Dualities of Deformed $\mathcal{N}=2$ SCFTs from Link Monodromy on D3-brane States
• Worldline as a Spin Chain
• Tubular Solutions of Dirac-Born-Infeld Action on Dp-Brane Background
• Complete nonlinear action for supersymmetric multiple D$0$-brane system
• The principle of least action and the geometric basis of D-branes
• Cohomological extension of Spin(7)-invariant super Yang-Mills theory in eight dimensions
• Holographic RG Flows for Kondo-like Impurities
• Master Field on Fuzzy Sphere
• Three-graviton scattering and recoil effects in M-atrix theory
• Does Yang-Mills theory describe quantum gravity?
• One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory
• The group structure of non-Abelian NS-NS transformations
• Zero-energy states of N = 4 SYM on T^3: S-duality and the mapping class group
• Non-Abelian Giant Gravitons
• New non-abelian effects on D branes
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Superconformal symmetry in the interacting theory of (2,0) tensor multiplets and self-dual strings
• The conformal brane-scan: an update
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Quantum Vacua of 2d Maximally Supersymmetric Yang-Mills Theory
• Description of Intersecting Branes via Tachyon Condensation
• Integrability of Supersymmetric Quantum Matrix Models in the Large-N Limit
• S-Duality, SL(2,Z) Multiplets and Killing Spinors
• Commutative Geometry for Non-commutative D-branes by Tachyon Condensation
• Spacetime Quantization from Non-abelian D-particle Dynamics
• Holographic flavor in theories with eight supercharges
• Thermodynamics of large N gauge theory from top down holography
• The N=1 Supersymmetric Landau Problem and its Supersymmetric Landau Level Projections: the N=1 Supersymmetric Moyal-Voros Superplane
• Green-Schwarz type formulation of D=11 S - invariant superstring and superparticle actions
• The non-Abelian gauge theory of matrix big bangs
• A Lightning Introduction to String Theory
• D-brane Analyses for BPS Mass Spectra and U-duality
• Open Superstring Theory and Superalgebra of the Brane Antibrane System
• A configuration of 11-dimensional curved superspace as backgrounds for supermembrane
• Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models
• Yang-Mills Instantons Sitting on a Ricci-flat Worldspace of Double D4-brane
• Non-BPS Dyons and Branes in the Dirac-Born-Infeld Theory
• Absorption by Threebranes and the AdS/CFT Correspondence
• Zerobrane Matrix Mechanics, Monopoles and Membrane Approach in QCD
• Two approaches to quantum gravity and M-(atrix) theory at large number of dimensions
• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• SL(2,Z) tensionless string backgrounds in IIB string theory
• Improved semiclassical model for real time evaporation of Matrix black holes
• Type IIB parabolic ($p,q$)-strings from M2-branes with fluxes
• Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
• Tube of (Circle F, D0, D2) Bound State in Melvin Background
• Phenomenology of Strong Interactions -- Towards an Effective Theory for Low Energy QCD
• Interaction of F- and D-strings in the Matrix Model
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
• Comparing two definitions for gauge variations of dielectric D-branes
• (p,q)-string in the wrapped supermembrane on 2-torus -- A classical analysis of the bosonic sector --
• Some thoughts about matrix coordinate transformations
• On Non-BPS Effective Actions of String Theory
• Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
• Toward Second-Quantization of D5-Brane
• Solitons, Black Holes and Duality in String Theory
• The long-range interactions between branes in diverse dimensions
• A Short Essay on Quantum Black Holes and Underlying Noncommutative Quantized Space-Time
• Fermion Exchange between D-instantons
• Where Does Black Hole Entropy Lie? Some Remarks on Area-Entropy Law, Holographic Principle and Noncommutative Space-Time
• Supersymmetric Duality in Deformed Superloop Space
• On New Bulk Singularity Structures, RR Couplings in Asymmetric Picture and Their All Order ${\alpha }^{\prime }$ Corrections
• Matrix Strings in Two-dimensional Yang-Mills Theory
• Lie algebraic noncommuting structures from reparametrisation symmetry
• Superalgebras from $p$-brane actions
• Instanton Calculus With R-R Background And Topological Strings
• Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications
• Understanding Fields Using Strings: A Review for Particle Physicists
• Non-trivial saddles in microscopic description of black holes
• On Special Limit of Non-Supersymmetric Effective Actions of type II String theory
• A classification of long-range interactions between two stacks of $p$ \& $p^{\prime }$-branes
• Intersecting Membranes from Charged Macroscopic Strings
• Cosmological Solutions of Type II Superstrings
• Type IIB Matrix Theory at Two Loops
• Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory
• Strings In Baryons And Matrix Coordinates
• Dynamical generation of gauge and Higgs bosons in N=2 supersymmetric non-linear sigma-models
• Two-dimensional $\mathcal{N}=2$ Super-Yang-Mills Theory
• 1/2-BPS vortex strings in $\mathcal{N}=2$ supersymmetric $\mathrm{U}(1{)}^N$ gauge theories
• Winding branes and persistent currents
• Supersymmetric Matrix model on Z-orbifold
• Supersymmetric dyonic black holes of IIA string on Six Torus
• Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
• The Toda system and solution to the $\mathcal{N}$=2 SUSY Yang-Mills theory
• Solving Four Dimensional Field Theories with the Dirichlet Fivebrane
• A Note on (D(p-2),Dp) Bound State and Noncommutative Yang-Mills Theory
• On the Schild action for D=0 and D=1 strings
• Effects of D-instantons in string amplitudes
• Superalgebras from D-brane actions
• Test for the Myers-Chern-Simons Action
• BPS Open Strings and A-D-E-singularities in F-theory on K3
• BPS Limit of Multi- D- and DF-strings in Boundary String Field Theory
• Hidden functional relation in Large-N Quark-Monopole system at finite temperature
• On zero modes of the eleven dimensional superstring
• Super Jackstraws and Super Waterwheels
• An SL(2, Z) Multiplet of Black Holes in $D=4$ Type II Superstring Theory
• A Remark on Witten Effect for QCD Monopoles in Matrix Quantum Mechanics
• Hamiltonian approach and quantization of $D=3,\mathcal{N}=1$ supersymmetric non-Abelian multiwave system
• BPS Mass, Dirichlet Boundary Condition, and the Isotropic Coordinate System
• Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models
• A companion to "Knot invariants and M-theory I'' [arXiv:1608.05128]: proofs and derivations
• Effective Potential for D-brane in Constant Electromagnetic Field
• H-Dyons and S-Duality
• Modeling M-Theory Vacua via Gauged S-Duality
• Time-Delay at Higher Genus in High-Energy Open String Scattering
• Notes on Matrix and Micro Strings
• The SU(N) Matrix Model at Two Loops
• Dilaton Stabilization and Inflation in the D-brane World
• Supersymmetric instantonic D1-branes in AdS${}_5\times$S${}^5$ background
• Towards the M(atrix) model action in an arbitrary 11D supergravity background. Progress report
• On supermembrane actions on Calabi-Yau 3-folds
• Noncommutative Manifolds from the Higgs Sector of Coincident D-Branes
• Classical Unattainability of Extremality in non-BPS D-brane Systems
• An extremal black hole with a unique ground state
• Constraints on extra-dimensions and variable constants from cosmological gamma ray bursts
• D-branes with Lorentzian signature in the Nappi-Witten model
• On the Spectral properties of Multi-branes, M2 and M5 branes
• N = 4 SYM on Σ\times S^2 and its Topological Reduction
• Wrapped Branes and Confined Momentum
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry I: A QM/NCG Correspondence
• Partition Functions of Reduced Matrix Models with Classical Gauge Groups
• On BPS World Volume, RR Couplings and their ${\alpha }^{\prime }$ Corrections in type IIB
• Negative-Tension Branes and Tensionless 1/2 Brane in Boundary Conformal Field Theory
• A Canonical Approach to Self-Duality of Dirichlet $3$-Brane
• D-instantons and Matrix Models
• Matrix Model on Z-Orbifold
• Non-abelian action of D0-branes from Matrix theory in the longitudinal 5-brane background
• D-brane Bound States from Charged Macroscopic Strings
• Dualities in integrable systems and N=2 theories
• Coordinate/Field Duality in Gauge Theories: Emergence of Matrix Coordinates
• (D)-instanton effects in magnetized brane worlds
• Black Holes in the Presence of Cosmological Constant and Large N Brane World
• Wrapped D-Branes as BPS Monopoles: The Moduli Space Perspective
• Star products on generalised complex manifolds
• Multiple D${}_p$-branes as a D${}_{p+2}$-brane
• Classical and Quantum Composite p-branes
• Effective mass of a radiating charged particle in Einstein's universe
• Worldsheet (anti)instanton bound states in type II on $T^2$
• Comments on D-Brane and $SO(2N)$ Enhanced Symmetry in Type II String
• Multiple fundamental strings and waves to non-linear order in the background fields
• Novel field theory phenomena from F theory and D-branes
• Dynamical Aspects on Duality between SYM and NCOS from D2-F1 Bound State
• M(atrix) model interaction with 11D supergravity
• On quantization of singular varieties and applications to D-branes
• Notes on unoriented D-brane instantons
• Geometric construction of D-branes in WZW models
• Nonabelian Poisson Manifolds from D-Branes
• Strings, Junctions and Stability
• A Reverse Black Hole Information Problem
• (m,n)-Strings In IIB Matrix Model
• Finite energy shifts in SU(n) supersymmetric Yang-Mills theory on T^3xR at weak coupling
• Parametrised Homotopy Theory and Gauge Enhancement
• Strings and Branes in Nonabelian Gauge Theory
• Superstrings, Gauge Fields and Black Holes
• Joule-Thomson expansion for noncommutative uncharged black holes
• Non-BPS Black holes in N=4 Supersymmetric Yang-Mills Theory Coupled to Gravity
• SU(5/3) Superalgebra and Its Representations of Fundamental Particles
• BPS Analysis of the Charged Soliton Solutions of D-brane Worldvolume Theory from the Viewpoint of Target-space Supersymmetry
• Unitary Irreducible Representations of a Lie Algebra for Matrix Chain Models
• The chiral ring of gauge theories in eight dimensions
• Time and a Temporally Statistical Quantum Geometrodynamics
• Constructive Wall-Crossing and Seiberg-Witten
• Point-Like Structure in Strings and Non-Commutative Geometry
• (p,q)-string in matrix-regularized membrane and type IIB duality
• SL(2;R) Duality of the Noncommutative DBI Lagrangian
• Horizons and plane waves: A review